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Simplifying 4(y + 6) + -3(y + -4) = 2(y + 5) Reorder the terms: 4(6 + y) + -3(y + -4) = 2(y + 5) (6 * 4 + y * 4) + -3(y + -4) = 2(y + 5) (24 + 4y) + -3(y + -4) = 2(y + 5) Reorder the terms: 24 + 4y + -3(-4 + y) = 2(y + 5) 24 + 4y + (-4 * -3 + y * -3) = 2(y + 5) 24 + 4y + (12 + -3y) = 2(y + 5) Reorder the terms: 24 + 12 + 4y + -3y = 2(y + 5) Combine like terms: 24 + 12 = 36 36 + 4y + -3y = 2(y + 5) Combine like terms: 4y + -3y = 1y 36 + 1y = 2(y + 5) Reorder the terms: 36 + 1y = 2(5 + y) 36 + 1y = (5 * 2 + y * 2) 36 + 1y = (10 + 2y) Solving 36 + 1y = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 36 + 1y + -2y = 10 + 2y + -2y Combine like terms: 1y + -2y = -1y 36 + -1y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 36 + -1y = 10 + 0 36 + -1y = 10 Add '-36' to each side of the equation. 36 + -36 + -1y = 10 + -36 Combine like terms: 36 + -36 = 0 0 + -1y = 10 + -36 -1y = 10 + -36 Combine like terms: 10 + -36 = -26 -1y = -26 Divide each side by '-1'. y = 26 Simplifying y = 26
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